If the length of the cubical box is doubled, then for a free particle trapped inside it:
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The quantum particle in the 1D box problem can be expanded to consider a particle within a higher dimensions as demonstrated elsewhere for a quantum particle in a 2D box. Here we continue the expansion into a particle trapped in a 3D box with three lengths Lx , Ly , and Lz . As with the other systems, there is NO FORCE (i.e., no potential) acting on the particles inside the box (Figure 3.9.1 ).
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